29359742412 has 384 divisors, whose sum is σ = 94810963968. Its totient is φ = 6826060800.

The previous prime is 29359742371. The next prime is 29359742449. The reversal of 29359742412 is 21424795392.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68119837 + ... + 68120267.

It is an arithmetic number, because the mean of its divisors is an integer number (246903552).

Almost surely, 2^29359742412 is an apocalyptic number.

29359742412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29359742412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47405481984).

29359742412 is an abundant number, since it is smaller than the sum of its proper divisors (65451221556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29359742412 is a wasteful number, since it uses less digits than its factorization.

29359742412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 627 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The spelling of 29359742412 in words is "twenty-nine billion, three hundred fifty-nine million, seven hundred forty-two thousand, four hundred twelve".